Answer:
2
Step-by-step explanation:
Vertical angles have equal measure so:-
9x + 12 = 3x + 24
6x = 12
x = 2
Answer:
Step-by-step explanation:
area = 1/2ab sin (angle)
area = 1/2(9.5)*(23)*sin(85)
area = 19.24 yards
Answer:
Refer below for detailed explanation.
Step-by-step explanation:
1. ax^2+bx+c=0.
Quadratic formula:
2. x = -b+-sqrt(b^2-4ac)/2a. .
Now two equations to find the factored form through these formulas above.
Through this identifying a,b and c.
ax^2+bx+c=0.
x^2+4x-21=0
Here a=1, b=4, and c= -21
Now applying in the quadratic formula.
x=-4+-sqrt(4^2-4(1)(-21))/2(1)
Now solve it and it becomes
x=3 or x= -7.
Another example :
x^2+3x-4=0
Here a=1, b=3 and c=-4.
X=-3+-sqrt(3^2-4(1)(-4))/2(1)
Now solve it and
x= -4 and x=1
Answer:
999.1
Step-by-step explanation:
370.8 + 628.3
Answer:
The values of x are:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b.
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c.
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.